Book picks similar to
Ricci Flow and the Poincare Conjecture (Clay Mathematics Monographs) by John W. Morgan
mathematics
important
matfysstat
math-and-science
Nine Algorithms That Changed the Future: The Ingenious Ideas That Drive Today's Computers
John MacCormick - 2012
A simple web search picks out a handful of relevant needles from the world's biggest haystack: the billions of pages on the World Wide Web. Uploading a photo to Facebook transmits millions of pieces of information over numerous error-prone network links, yet somehow a perfect copy of the photo arrives intact. Without even knowing it, we use public-key cryptography to transmit secret information like credit card numbers; and we use digital signatures to verify the identity of the websites we visit. How do our computers perform these tasks with such ease? This is the first book to answer that question in language anyone can understand, revealing the extraordinary ideas that power our PCs, laptops, and smartphones. Using vivid examples, John MacCormick explains the fundamental "tricks" behind nine types of computer algorithms, including artificial intelligence (where we learn about the "nearest neighbor trick" and "twenty questions trick"), Google's famous PageRank algorithm (which uses the "random surfer trick"), data compression, error correction, and much more. These revolutionary algorithms have changed our world: this book unlocks their secrets, and lays bare the incredible ideas that our computers use every day.
On Numbers and Games
John H. Conway - 1976
Originally written to define the relation between the theories of transfinite numbers and mathematical games, the resulting work is a mathematically sophisticated but eminently enjoyable guide to game theory. By defining numbers as the strengths of positions in certain games, the author arrives at a new class, the surreal numbers, that includes both real numbers and ordinal numbers. These surreal numbers are applied in the author's mathematical analysis of game strategies. The additions to the Second Edition present recent developments in the area of mathematical game theory, with a concentration on surreal numbers and the additive theory of partizan games.
This Book Does Not Exist: Adventures in the Paradoxical
Gary Hayden - 2009
Prepare to stretch your mind and challenge everything you think you know, as This Book Does Not Exist unveils just how weird a place the world of thought can be. Filled with philosophical and mathematical problems to baffle and delight you, This Book Does Not Exist is packed with thought experiments, real-life examples, and puzzles for you to try. It also introduces you to some of the great names in the field of paradoxes, from the ancient Greeks to Albert Einstein. Divided into eight mind-bending chapters, This Book Does Not Exist takes you on a journey from the counterintuitive to the downright absurd. On the way it will introduce you to topics such as impossible objects, how to expect the unexpected, and the trouble with time travel. This is a book that will change the way you think.
A First Course in Abstract Algebra
John B. Fraleigh - 1967
Focused on groups, rings and fields, this text gives students a firm foundation for more specialized work by emphasizing an understanding of the nature of algebraic structures. KEY TOPICS: Sets and Relations; GROUPS AND SUBGROUPS; Introduction and Examples; Binary Operations; Isomorphic Binary Structures; Groups; Subgroups; Cyclic Groups; Generators and Cayley Digraphs; PERMUTATIONS, COSETS, AND DIRECT PRODUCTS; Groups of Permutations; Orbits, Cycles, and the Alternating Groups; Cosets and the Theorem of Lagrange; Direct Products and Finitely Generated Abelian Groups; Plane Isometries; HOMOMORPHISMS AND FACTOR GROUPS; Homomorphisms; Factor Groups; Factor-Group Computations and Simple Groups; Group Action on a Set; Applications of G-Sets to Counting; RINGS AND FIELDS; Rings and Fields; Integral Domains; Fermat's and Euler's Theorems; The Field of Quotients of an Integral Domain; Rings of Polynomials; Factorization of Polynomials over a Field; Noncommutative Examples; Ordered Rings and Fields; IDEALS AND FACTOR RINGS; Homomorphisms and Factor Rings; Prime and Maximal Ideas; Gr�bner Bases for Ideals; EXTENSION FIELDS; Introduction to Extension Fields; Vector Spaces; Algebraic Extensions; Geometric Constructions; Finite Fields; ADVANCED GROUP THEORY; Isomorphism Theorems; Series of Groups; Sylow Theorems; Applications of the Sylow Theory; Free Abelian Groups; Free Groups; Group Presentations; GROUPS IN TOPOLOGY; Simplicial Complexes and Homology Groups; Computations of Homology Groups; More Homology Computations and Applications; Homological Algebra; Factorization; Unique Factorization Domains; Euclidean Domains; Gaussian Integers and Multiplicative Norms; AUTOMORPHISMS AND GALOIS THEORY; Automorphisms of Fields; The Isomorphism Extension Theorem; Splitting Fields; Separable Extensions; Totally Inseparable Extensions; Galois Theory; Illustrations of Galois Theory; Cyclotomic Extensions; Insolvability of the Quintic; Matrix Algebra MARKET: For all readers interested in abstract algebra.
Surreal Numbers
Donald Ervin Knuth - 1974
This title is intended for those who might enjoy an engaging dialogue on abstract mathematical ideas, and those who might wish to experience how new mathematics is created.
Introduction to Mathematical Philosophy
Bertrand Russell - 1918
In it, Russell offers a nontechnical, undogmatic account of his philosophical criticism as it relates to arithmetic and logic. Rather than an exhaustive treatment, however, the influential philosopher and mathematician focuses on certain issues of mathematical logic that, to his mind, invalidated much traditional and contemporary philosophy.In dealing with such topics as number, order, relations, limits and continuity, propositional functions, descriptions, and classes, Russell writes in a clear, accessible manner, requiring neither a knowledge of mathematics nor an aptitude for mathematical symbolism. The result is a thought-provoking excursion into the fascinating realm where mathematics and philosophy meet — a philosophical classic that will be welcomed by any thinking person interested in this crucial area of modern thought.
What Color Is Your Parachute? for Retirement: Planning a Prosperous, Healthy, and Happy Future
John E. Nelson - 2010
Given the new normal, how do you plan for a future filled with prosperity, health, and happiness? As a companion to What Color Is Your Parachute?, the world’s best-selling career book, What Color Is Your Parachute? for Retirement offers both a holistic, big-picture look at these years as well as practical tools and exercises to help you build a life full of security, vitality, and community.This second edition contains updates throughout, including a section on Social Security, an in-depth exercise on values and how they inform your retirement map, and the one-of-a-kind resource for organizing the sea of information on finances and mental and physical health: the Retirement Well-Being Profile. More than a guide on where to live, how to stay active, or which investments to choose, What Color Is Your Parachute? for Retirement helps you develop a detailed picture of your ideal retirement, so that—whether you’re planning retirement or are there already—you can take a comprehensive approach to make the most of these vital years.From the Trade Paperback edition.
Time's Arrow and Archimedes' Point: New Directions for the Physics of Time
Huw Price - 1996
Price begins with the mystery of the arrow of time. Why, for example, does disorder always increase, as required by the second law of thermodynamics? Price shows that, for over a century, most physicists have thought about these problems the wrong way. Misled by the human perspective from withintime, which distorts and exaggerates the differences between past and future, they have fallen victim to what Price calls the double standard fallacy: proposed explanations of the difference between the past and the future turn out to rely on a difference which has been slipped in at thebeginning, when the physicists themselves treat the past and future in different ways. To avoid this fallacy, Price argues, we need to overcome our natural tendency to think about the past and the future differently. We need to imagine a point outside time -- an Archimedean view from nowhen --from which to observe time in an unbiased way. Offering a lively criticism of many major modern physicists, including Richard Feynman and Stephen Hawking, Price shows that this fallacy remains common in physics today -- for example, when contemporary cosmologists theorize about the eventual fate of the universe. The big bang theory normallyassumes that the beginning and end of the universe will be very different. But if we are to avoid the double standard fallacy, we need to consider time symmetrically, and take seriously the possibility that the arrow of time may reverse when the universe recollapses into a big crunch. Price then turns to the greatest mystery of modern physics, the meaning of quantum theory. He argues that in missing the Archimedean viewpoint, modern physics has missed a radical and attractive solution to many of the apparent paradoxes of quantum physics. Many consequences of quantum theoryappear counterintuitive, such as Schrodinger's Cat, whose condition seems undetermined until observed, and Bell's Theorem, which suggests a spooky nonlocality, where events happening simultaneously in different places seem to affect each other directly. Price shows that these paradoxes can beavoided by allowing that at the quantum level the future does, indeed, affect the past. This demystifies nonlocality, and supports Einstein's unpopular intuition that quantum theory describes an objective world, existing independently of human observers: the Cat is alive or dead, even when nobodylooks. So interpreted, Price argues, quantum mechanics is simply the kind of theory we ought to have expected in microphysics -- from the symmetric standpoint.Time's Arrow and Archimedes' Point presents an innovative and controversial view of time and contemporary physics. In this exciting book, Price urges physicists, philosophers, and anyone who has ever pondered the mysteries of time to look at the world from the fresh perspective of Archimedes' Pointand gain a deeper understanding of ourselves, the universe around us, and our own place in time.
Prisoner's Dilemma: John von Neumann, Game Theory, and the Puzzle of the Bomb
William Poundstone - 1992
Though the answers may seem simple, their profound implications make the prisoner's dilemma one of the great unifying concepts of science. Watching players bluff in a poker game inspired John von Neumann--father of the modern computer and one of the sharpest minds of the century--to construct game theory, a mathematical study of conflict and deception. Game theory was readily embraced at the RAND Corporation, the archetypical think tank charged with formulating military strategy for the atomic age, and in 1950 two RAND scientists made a momentous discovery.Called the prisoner's dilemma, it is a disturbing and mind-bending game where two or more people may betray the common good for individual gain. Introduced shortly after the Soviet Union acquired the atomic bomb, the prisoner's dilemma quickly became a popular allegory of the nuclear arms race. Intellectuals such as von Neumann and Bertrand Russell joined military and political leaders in rallying to the preventive war movement, which advocated a nuclear first strike against the Soviet Union. Though the Truman administration rejected preventive war the United States entered into an arms race with the Soviets and game theory developed into a controversial tool of public policy--alternately accused of justifying arms races and touted as the only hope of preventing them.A masterful work of science writing, Prisoner's Dilemma weaves together a biography of the brilliant and tragic von Neumann, a history of pivotal phases of the cold war, and an investigation of game theory's far-reaching influence on public policy today. Most important, Prisoner's Dilemma is the incisive story of a revolutionary idea that has been hailed as a landmark of twentieth-century thought.
Manual of Style for Contract Drafting
Kenneth A. Adams - 2008
Adams has created a uniquely in-depth survey of the building blocks of contract language. First published in 2004, it offers those who draft, review, negotiate, or interpret contracts an alternative to the dysfunction of traditional contract l ... Available here:readbux.com/download?i=1634259645A Manual of Style for Contract Drafting PDF by Kenneth A. AdamsRead A Manual of Style for Contract Drafting PDF from American Bar Association,Kenneth A. AdamsDownload Kenneth A. Adams’s PDF E-book A Manual of Style for Contract Drafting
Road Atlas Large Scale
Rand McNally & Company - 2015
Updated atlas contains maps of every U.S. state that are 35% larger than the standard atlas version plus over 350 detailed city inset and national park maps and a comprehensive, unabridged index. Road construction projects and updates highlighted for every state and conveniently located above the maps. Contains mileage chart showing distances between 77 North American cities and national parks with driving times map. Tough spiral binding allows the book to lay open easily. Other Features Best of the Road - Our editor's favorite road trips from our Best of the Road collection follows scenic routes along stretches of coastline, both east and west, to forests mountains, and prairies; and through small towns and big cities. For a weekend or a week there's something for everyone. Tell Rand! As much as we work to keep our atlases up to date, conditions change quickly and new construction projects begin frequently. If you know of something we haven't captured in our atlas, let us know at randmcnally.com/tellrand. Tourism websites and phone numbers for every U.S. state and Canadian province on map pages
Pray the Rosary Bead by Bead - Formatted to Mimic Rosary Beads
Mike Hart - 2011
This Rosary tool has also been consistently in the Amazon top ten best selling books of Prayer since every month since its release; this includes paperback and kindle prayer books. Buy with confidence and may it enhance your opportunity to pray to Our Lady.This is a tool to allow you to use your Kindle to pray the rosary. This version of the rosary is intended to allow for praying the rosary with the turn of each page acting as a rosary bead. It contains all four rosary mysteries Joyful, Sorrowful, Glorious, and Luminous. The table of contents will allow you to jump to any of the four mysteries. Given that the Kindle, Nook, and other eBook devices allow thousands of books to be carried within them, it makes sense that the most powerful prayer in the world should also be included. Turning one page for each bead of the rosary makes the device feel and respond like a rosary necklace. Praying the rosary is an art which includes a certain rhythm of changing beads and prayers while in contemplation. Other rosary books either teach the prayers or outline the process but don’t account for the rhythm an art of contemplation that the process itself supports. This version allows that process to be integrated into the book itself; no beads required. While I personally love rosary beads, I don’t always have them available. I also like having the precise bible scriptures associated with each Mystery integrated into the process itself; it allows a more detailed focus by reading the actual living word of God without losing rhythm. While I personally know what the mysteries are about and what each decade story is, it adds a bit of opportunity to read in detail the bible passages of each mystery while not breaking stride with the prayer process. And, if there is ever a moment of distraction by events around me, I never lose my exact spot in praying the rosary.I pray that this book enhances opportunity for you to pray the rosary on many occasions when otherwise you may not have, and I hope it enhances your prayers on a regular basis through deeper connection with the scriptures which are the living word of God. The following updates were made based on user recommendations:VERSION UPDATED JULY 22, 2012 - Changed the table of contents to show the correct day for Luminous Mysteries to be prayed 'Thursday', updated the Glory Be prayer to be included after the first 3 Hail Mary's at the opening of each Mystery, Updated the Glory Be to be worded more technically correct.VERSION UPDATED DECEMBER 11, 2011 - Changed language of Apostle's Creed to match Catholic Church New Translation, fixed misspelled word "beech" to read "beseech", fixed missing bible verse for Mysteries "crowning with thorns" and "coronation of mary".
The Story of Mathematics
Anne Rooney - 2008
Topics include the development of counting and numbers systems, the emergence of zero, cultures that don’t have numbers, algebra, solid geometry, symmetry and beauty, perspective, riddles and problems, calculus, mathematical logic, friction force and displacement, subatomic particles, and the expansion of the universe. Great mathematical thinkers covered include Napier, Liu Hui, Aryabhata, Galileo, Newton, Russell, Einstein, Riemann, Euclid, Carl Friedrich Gauss, Charles Babbage, Montmort, Wittgenstein, and many more. The book is beautifully illustrated throughout in full color.
100 Greatest Cycling Climbs: A Road Cyclist's Guide To Britain's Hills
Simon Warren - 2010
It is now possible for cyclists of all abilities to ride a well marked, well marshalled event just about any weekend of the year, usually based around one, two or sometimes as many as ten fearsome hills. For the first time, here is a pocket-sized guide to the 100 greatest climbs in the land, the building blocks for these rides, written by a cyclist for cyclists. From lung busting city centre cobbles to leg breaking windswept mountain passes, this guide locates the roads that have tested riders for generations and worked their way into cycling folklore. Whether you're a leisure cyclist looking for a challenge or an elite athlete trying to break records stick this book in your pocket and head for the hills. To watch a video of Simon Warren in action click here